Water flows into a swimming pool at the rate of 12 gal/min.The pool is 16 ft wide,32 ft long and 6.0 ft deep.How long does it take to fill? (1 U.S.gallon = 231 cubic inches)
A) 32 hours
B) 64 hours
C) 48 hours
D) 24 hours

Question

Quizplus · Accepted Answer

The volume of the pool is 16 ft x 32 ft x 6.0 ft = 3072 cubic feet.The volume of water that flows into the pool in 1 minute is 12 gal/min x 231 cubic inches/gal = 2772 cubic inches/min.The volume of water that flows into the pool in 1 hour is 2772 cubic inches/min x 60 min/hr = 166320 cubic inches/hr.The volume of water that flows into the pool in 1 hour is 166320 cubic inches/hr / 1728 cubic inches/cubic foot = 96 cubic feet/hr.The time it takes to fill the pool is 3072 cubic feet / 96 cubic feet/hr = 32 hours.

Water Flows into a Swimming Pool at the Rate of 12